Antiperiodic solutions to delayed inertial quaternion-valued neural networks

This manuscript mainly deals with quaternion-valued neural networks (QVNNs) with delays and inertial term. Using Wirtinger inequality and coincidence degree theory, a new sufficient criterion to ensure the existence of antiperiodic solution of involved quaternion-valued neural networks is derived. With the aid of Lyapunov function, we discuss the exponential stability of antiperiodic solutions to quaternion-valued neural networks. Numerical simulations are presented to illustrate the established theoretical findings.